After applying convexity to the above results the only region left is for \(x_A + x_B > 1\)  and \(1- x_B < x_A < 1 + x_B\) .
This is of course the main region of interest where the entanglement wedge is connected.
Because there is no common geodesic element between all three elements (that is \(\Gamma (g_A,e) \cap \Gamma (g_B,e) \cap \Gamma (g_A,g_B)\)  is empty), there is no simple argument that determines the phase in this region.If there was a common geodesic element then this element would sit on all three edges of the region under consideration - so we could then fill the phase diagram inside the region with this common element using convexity. This is the main difference between our calculation and the negativity computations in [1]}, [2]}, [3]}.
Instead we must seek other methods for determining the phase in this region.
Indeed, there exists a proof for this main region, providing a complete picture of the phase diagram.
However, because the proof is relatively involved, we present it in Appendix  for interested readers.
For now we just summarize the results we find:
